Search a number
-
+
3472049412 = 22321341180949
BaseRepresentation
bin1100111011110011…
…0100010100000100
322221222021101101200
43032330310110010
524102321040122
61332310022500
7152016635016
oct31674642404
98858241350
103472049412
111521977127
1280a947a30
13434431410
1424d1a41b6
15154c3a5ac
hexcef34504

3472049412 has 72 divisors (see below), whose sum is σ = 9682272600. Its totient is φ = 1042260480.

The previous prime is 3472049407. The next prime is 3472049429. The reversal of 3472049412 is 2149402743.

3472049412 is a `hidden beast` number, since 34 + 7 + 204 + 9 + 412 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 239444676 + 3232604736 = 15474^2 + 56856^2 .

It is a super-3 number, since 3×34720494123 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71287 + ... + 109662.

Almost surely, 23472049412 is an apocalyptic number.

It is an amenable number.

3472049412 is an abundant number, since it is smaller than the sum of its proper divisors (6210223188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3472049412 is a wasteful number, since it uses less digits than its factorization.

3472049412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181013 (or 181008 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3472049412 is about 58924.0987372739. The cubic root of 3472049412 is about 1514.2420389156.

The spelling of 3472049412 in words is "three billion, four hundred seventy-two million, forty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 369 468 492 533 738 1066 1476 1599 2132 3198 4797 6396 9594 19188 180949 361898 542847 723796 1085694 1628541 2171388 2352337 3257082 4704674 6514164 7057011 7418909 9409348 14114022 14837818 21171033 22256727 28228044 29675636 42342066 44513454 66770181 84684132 89026908 96445817 133540362 192891634 267080724 289337451 385783268 578674902 868012353 1157349804 1736024706 3472049412